The epsilon expansion of the \(\mathrm{O}(N)\) model with line defect from conformal field theory
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Publication:6158805
DOI10.1007/JHEP03(2023)203arXiv2212.04076MaRDI QIDQ6158805
Author name not available (Why is that?)
Publication date: 31 May 2023
Published in: (Search for Journal in Brave)
Abstract: We employ the axiomatic framework of Rychkov and Tan to investigate the critical O vector model with a line defect in dimensions. We assume the fixed point is described by defect conformal field theory and show that the critical value of the defect coupling to the bulk field is uniquely fixed without resorting to diagrammatic calculations. We also study various defect localized operators by the axiomatic method, where the analyticity of correlation functions plays a crucial role in determining the conformal dimensions of defect composite operators. In all cases, including operators with operator mixing, we reproduce the leading anomalous dimensions obtained by perturbative calculations.
Full work available at URL: https://arxiv.org/abs/2212.04076
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